Question

find the sum and and products of zeros of the given polynomial 3x²-4x-4​

Answer 1

Answer:

2,-2/3

Step-by-step explanation:

3xsquare-6x+2x-4

3x(x-2)+2(x-2)

(x-2)(3x+2)

x-2,x=2

3x+2,3x=-2

x=-2/3

Answer 2

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3 × 4 = 12 by splitting middle term

3x²-6x+2x-4

3x(x-2)+2(x-2)

3x+2=0 (or) x-2=0

3x= -2 (or) x = 2

x = -2/3

alpha = -2/3 beta = 2

SUM AND PRODUCT OF ZEROS :

SUM OF ZEROS :

FORMULA : -b/a

alpha + beta = -(-4) / 3

-2/3 + 2 = +4/3

lcm for alpha + beta

-2×1+2×3

________ = 4/3

3

-2+6

_____ = 4/3

3

4/3 = 4/3

PRODUCT OF ZEROS :

FORMULA : c/a

alpha×beta = c/a

-2/3×2 = -4/3

-4/3 = -4/3